End-Point Prediction Scheme for Voltage Regulators

ABSTRACT

An End-Point Prediction scheme is described for voltage-mode buck regulators to generate adaptive output voltage to integrated-circuit systems. Internal nodal voltages of the regulator controller are predicted and set automatically by the proposed algorithms and circuits. The settling time of the regulator can therefore be significantly reduced for faster dynamic responses, even with dominant-pole compensation.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of U.S. Provisional Application No. 60/699,890, filed Jul. 18, 2005, entitled “End-Point Prediction Scheme for Voltage Regulators,” which application is incorporated in its entirety by reference as if fully set forth herein.

FIELD OF THE INVENTION

The invention is in the area of End-Point Prediction (EPP) that is a methodology to improve the reference-tracking speed of a regulator. This has important application on the design of regulators, such as buck regulators for generating adaptive output or supply voltages to integrated-circuit systems and other types of regulators.

BACKGROUND OF THE INVENTION

Adaptive power supply is an effective power-management solution for performance-power optimization in both digital and mixed-signal systems. Therefore, switched-mode regulators with fast reference tracking to provide fast change of regulated output voltages are becoming important for future IC systems. Pulse-width-modulated (PWM) switched-mode regulator is well-accepted in many mixed-signal systems, as the switching period is fixed and can be designed so that switching noise will not seriously degrade the signal-to-noise ratio of mixed-signal systems. However, PWM regulators generally have slower reference tracking due to the large and off-chip compensation capacitors for the regulator's stability. As a result, extensive parametric design on controller and compensation network is generally required to improve the tracking speed, and therefore the robustness of this approach is not high.

One type of a voltage-mode PWM buck regulator 10 to provide a regulated output voltage (V_(O)) from an unregulated voltage (V_(IN)) is shown in FIG. 1A, as disclosed in R. W. Erickson, Fundamentals of Power Electronics, Norwell Mass.: Kluwer Academic Publishers, 2001. The power stage 12 is formed by two power transistors (a PMOSFET: MP and a NMOSFET: MN), an inductor (L_(O)) and a filtering capacitor (C_(O)). The error amplifier 14 compares the reference voltage (V_(REF)) from a voltage reference 16 with scaled V_(O) generated by resistors 20 and 22 of respective resistances R_(F1) and R_(F2). Thus, V _(O) =V _(REF)·(R _(F1) +R _(F2))/R _(F2) =V _(REF) /b

where b=R_(F2)/(R_(F1)+R_(F2)). An error voltage (V_(a)) is then generated by error-amplifier 14 and supplied to PWM controller 24 to determine duty cycle (D) in a switching period for voltage regulation. A buck regulator operated in continuous conduction mode (CCM) has a conversion relationship given by $\frac{V_{O}}{V_{IN}} = {D = \frac{V_{a} - V_{L}}{V_{H} - V_{L}}}$

where V_(H) and V_(L) are upper and lower bounds of the ramp signal in the PWM controller 24. When V_(REF) from reference 16 is changed, V_(O) is changed by changing D with different V_(a). This change in V_(O) is then fed through an error-amplifier 14 and a compensation network 18 that includes an off-chip compensation capacitor (C_(C)) to the PWM controller 24. Since a large compensation capacitor (C_(C)) is connected at the error-amplifier output for frequency compensation, the large-signal response of V_(a) is poor and the change of V_(O) in the prior art is therefore very slow. A dead-time control and power transistor drivers circuit 26 containing one or more power transistor driver(s) may be used to drive the power stage 12, so that there is no overlap between the times when both transistors MP and MN are on at the same time. The operation of circuits 24 and 26 is conventional and need not be described herein in detail. While the network 18 is shown to contain a single capacitor, it will be understood that it may contain more than one capacitor and one or more resistors as well to achieve one or multiple pole-zero cancellations.

The effect of large capacitance of the compensation capacitor (C_(C)) in compensation network 18 on tracking speed of the regulator output voltage is illustrated in FIG. 1B. As shown in FIG. 1B, the large capacitance of the compensation capacitor (C_(C)) causes the error signal V_(a) at the output of the error amplifier to rise slowly, so that the pulse width signal controlling the pulse width from the PWM controller 24 also causes the duty cycle (e.g. from D_(n+1) to D_(n+3) in FIG. 1B) and the regulator output voltage V₀ to rise slowly when V_(REF) is abruptly increased. This is undesirable.

SUMMARY OF THE INVENTION

The invention is based on the recognition that, it is possible to anticipate the end-point value of the error voltage that should be applied to the controller controlling the duty cycle when the reference voltage V_(REF) is changed, in a scheme referred to herein as end-point prediction. In this scheme tracking speed can be improved by providing the reference voltage to the controller that controls the duty cycle (D) of the power stage (such as by controlling the turning on and off of the stage) in a manner that bypasses the compensation network 18 that includes the large value compensation capacitor (C_(C)). A change in V_(REF) will therefore be quickly reflected in a change in duty cycle (D) of the power stage, and in a corresponding change in V_(a). In this manner, V_(a) will quickly track a change in V_(REF). This is the case even for large changes in the value of V_(REF).

In one embodiment of the invention, the regulator comprises a power stage including two or more power semiconductor devices, said stage providing a regulator output in response to an input voltage. One or more power-transistor digital driver(s) turns on/off the power semiconductor devices to control the duty cycle (D) of the power stage. An error amplifier receives as inputs a reference voltage and a signal indicative of the regulator output and provides a single-ended output that is proportional to a difference between the two inputs to the error amplifier. A frequency compensation network connected to the amplifier output (or connected between the amplifier out and the negative input of the amplifier) to stabilize the regulator. A circuit path connects the voltage reference and the amplifier output or a signal derived therefrom to the controller that controls the duty cycle (D) of the power stage. The circuit path connects the reference voltage to the controller in a manner so that the path is substantially unaffected by any delay caused by the frequency compensation network, to provide end-point prediction when the voltage reference changes. Preferably, the path bypasses the frequency compensation network.

In one implementation of the above embodiment, the circuit path includes a voltage adder that adds the voltage reference and the amplifier output or a signal derived therefrom and provides the summed signal to the controller. Preferably, a voltage-controlled oscillator supplies substantially input voltage independent and substantially constant frequency ramp and clock signals for use by the controller. The voltage-controlled oscillator also supplies a ramp signal of amplitude V_(H)−V_(L) directly proportional to the input voltage for use of the controller.

Another aspect of the invention is directed to an oscillator that can generate substantially input voltage independent and substantially constant frequency ramp and clock signals. In one embodiment, the oscillator comprises a current mirror circuit. The current mirror circuit includes a circuit providing a current I equal to b(V_(IN))/R₁, where V_(IN) is an input voltage to the oscillator and b is a scaling factor less than or equal to one, and R₁ a resistance. The current mirror circuit also includes a first branch including a capacitor; and a second branch including a resistor of resistance R₁, said current mirror circuit being such that current I flows through both branches. The oscillator comprises a transistor connected in parallel to said capacitor and a hysteretic comparator providing a periodic clock signal to a gate of said transistor to periodically discharge said capacitor to provide a periodic ramp signal by turning on the transistor periodically, in response to voltages at two terminals of the resistor.

BRIEF DESCRIPTION OF THE DRAWINGS

An embodiment of the invention will now be described by the way of principles of operation and with reference to accompanying drawings, in which

FIG. 1A is the block diagram illustrating a generic voltage-mode buck regulator according to the prior art,

FIG. 1B is a graphical plot of a ramp signal and of an error voltage to illustrate the slow tracking in a conventional regulator,

FIG. 2 is the block diagram illustrating the structure of a voltage-mode buck regulator according to an embodiment of the present invention,

FIG. 3 is a schematic view of a voltage-controlled oscillator for use in an embodiment of the present invention,

FIG. 4 is the logic of the hysteretic comparator in FIG. 3,

FIG. 5 is the measured results of the used voltage-controlled oscillator in FIG. 3 at two input voltages,

FIG. 6 is the reference tracking of the positive edge of V_(REF) for V_(O) by the conventional control of FIG. 1A, and

FIG. 7 is the reference tracking of the negative edge of V_(REF) for V_(O) by the control in an embodiment of the present invention.

FIG. 8A is a graphical plot of the reference voltage V_(REF) and of the error voltage output V_(a) of the error-amplifier in the regulator of FIG. 1A.

FIG. 8B is a graphical plot of the reference voltage V_(REF) and of the error voltage output V_(a1) of the error-amplifier, and the output V_(a2) of an adder adding V_(a1) to V_(REF) in the regulator of FIG. 2.

For simplicity and description, identical components are labeled by the same numerals or identification in this application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

In one embodiment, an adaptive output or supply voltage by a buck regulator 100 provides a good approach to save power of integrated-circuit systems. A low output voltage from the regulator is applied to a system in low-power/standby mode, while a high output voltage from the regulator will be applied when the system has to operate in full-power mode. The reference voltage is therefore changed at different modes of operation to vary the output or supply voltage from the buck regulator. The corresponding action by the buck regulator in response to the change of reference voltage is regarded as reference tracking. The reference-tracking speed is important and is preferably fast so that the transition time between low-power/standby mode and full-power mode is short. While the embodiment described involves a buck regulator, it will be understood that the invention is equally applicable to other types of regulators.

In the prior art design of FIG. 1A, there is a large voltage change experienced at the error-amplifier output when the reference voltage is changed to generate different output voltage of the buck regulator. Dominant-pole compensation, which is a robust method to achieve regulator's stability, will slow down the overall response of the buck regulator due to slew-rate limit by the large compensation capacitor at the error-amplifier output.

To solve this problem, in one embodiment, the reference voltage is applied along a circuit path 102 that leads to controller 24′ and that bypasses the capacitor of large capacitance C_(C) in network 18, so that the rise time of the error signal applied to the controller is substantially unaffected by the capacitance. Preferably, the path includes a voltage adder 104 used to add the error-amplifier output voltage V_(a1) and the reference voltage V_(REF), as shown in FIG. 2, and the summed voltage signal V_(a2) is fed to controller 24′. In this manner, a change in the reference voltage V_(REF) is quickly reflected in a change in the error signal applied to controller 24′, which causes a commensurate change in the duty cycle D. This then causes a corresponding change in the regulator output V_(O). The voltage change at the error-amplifier output V_(a1) is theoretically null while it varies just a little in practice. The reference-tracking speed is hence greatly improved.

In this case, V_(a1), a node connected with a large compensation capacitor in network 18, need not experience large voltage transients during reference tracking. According to prior art, the required V_(a) to determine D is given by $V_{a} = {{\left( \frac{V_{H} - V_{L}}{{bV}_{IN}} \right) \cdot V_{REF}} + V_{L}}$

When V_(H) is designed such that $V_{H} = {{{bV}_{IN} + {V_{L}{\quad\quad}{or}\quad\frac{V_{H} - V_{L}}{{bV}_{IN}}}} = 1}$ wherein within tolerances, the relation of V_(a) and V_(REF) is given by V _(a) =V _(REF) +V _(L)

where V_(H) and V_(L) are provided by the PWM controller 24′.

Referring to FIG. 2, the error-amplifier output voltage V_(a1) is substantially equal to V_(L). During reference tracking, V_(REF) and V_(a2) will change rapidly while the error-amplifier output voltage V_(a1) will be constant. However, this will be the case only when using ideal power transistors and ideal inductor. As a result, there will be a small change on V_(a1) during tracking in practice. Since there is nearly no large-signal transient at V_(a1), the reference tracking is much improved.

Hence, when the reference voltage V_(REF) is changed, V_(a2) will quickly change with it, thereby causing the duty cycle D controlled by controller 24′ and output V_(O) of stage 12 to also change quickly, tracking the change in the reference voltage at high speed.

Stability of power converters is studied by loop-gain analysis. The open-loop gain T(s) of a voltage-mode buck converter in CCM is given by ${T(s)} = {\left( \frac{b}{D} \right) \cdot \left\lbrack \frac{V_{O}}{\left( {V_{H} - V_{L}} \right)} \right\rbrack \cdot {A(s)} \cdot {P(s)}}$

where A(s) and P(s) are the transfer functions of the error amplifier 14 and power stage 12, respectively. As V_(H)=bV_(IN)+V_(L) is used in the proposed EPP scheme, the loop gain of the proposed structure is given by T(s)=A(s)·P(s)

The stability of the voltage-gain buck regulator is independent of V_(O). Stability of the proposed buck regulator can be achieved by dominant-pole compensation. A low frequency pole, which ensures complex poles due by the power stage located after the unity-gain frequency of the loop gain, is created at the error-amplifier output.

As the input voltage V_(IN) to the regulator changes, the frequency of the ramp signal in controller 24′ may also change. As a further improvement, a voltage-controlled oscillator (VCO) is used in controller 24′ to provide a ramp signal with V_(H)=bV_(IN)+V_(L) and a substantially constant switching frequency despite changes in the input voltage V_(IN) to the regulator. The ramp signal amplitude needs to change from V_(L) to V_(H)=bV_(IN)+V_(L) with a constant switching frequency. V_(L) is provided by controller 24′. The VCO 150 design is shown in FIG. 3, which is one of the embodiments. When the resistor ratio R_(B2)/(R_(B1)+R_(B2)) of the VCO 150 is also designed as substantially b, which is defined as the ratio R_(F2)/(R_(F1)+R_(F2)), the current I in resistor 152 of resistance R₁ is given by I=bV _(IN) /R ₁

The voltages across resistors 151 and 152 are the same, due to the effect of amplifier 154. This current I is copied by the current mirror 156 into two current branches. One branch 156 a is to charge a capacitor 160 of capacitance C₁ to form the ramp signal, while another branch 156 b is used to convert the voltage at node 164 to V_(H). The hysteretic comparator 158 with logics shown in FIG. 4 compares the amplitude of the ramp signal V_(I) at node 168 with V_(H) and V_(L) at the two terminals of resistor 170 and at the two inputs of comparator 158 to turn on and off the NMOS transistor 162 that is connected in parallel with capacitor 160 of capacitance C₁ to discharge the ramp voltage back to V_(L). The charge stored in capacitor 160 is given by Q=I/f=C ₁·(V _(H) −V _(L))

where f is the switching frequency of the designed buck converter, and hence bV _(IN)/(f·R ₁)=C ₁·[(bV _(IN) +V _(L))−V _(L)]

to give the relationship of switching frequency of f=1/R ₁ C ₁

The switching frequency is therefore independent of V_(IN) and is fixed by the design of R₁ and C₁, and the ramp amplitude changes between V_(L) and V_(H)=bV_(IN)+V_(L). Hence, VCO 150 provides a ramp signal and a clock signal that are substantially the same despite changes in V_(IN.) In the design, V_(L) is set to about 0.2V so that V_(a1)≈0.2V to allow the error amplifier to operate in the high-gain region. The voltage-controlled oscillator 150 also supplies a ramp signal of amplitude V_(H) V_(L) directly and substantially proportional to the input voltage V_(IN) for use by the controller.

While the voltage controller oscillator circuit 150 of FIG. 3 can be advantageously used for the regulator of FIG. 2 for generating substantially constant frequency ramp and clock signals independent of the input voltage, it will be understood that circuit 150 may also be used for such similar purposes either alone or in combination with other circuits. Such and other variations are within the scope of this application.

A buck regulator in accordance with this embodiment of invention has been fabricated. FIG. 5 shows the measured ramp signals by the invented VCO at V_(IN)=2.4V and V_(IN)=3.3V. The preset V_(L) is 0.2V and b is set to ⅓. Therefore, V_(H) is 1.2V and 1.5V, respectively, which agrees with the experimental results well using the stated algorithm. Thus, FIG. 5 illustrates the fact that the frequency of the ramp signal remains substantially unchanged despite changes in V_(IN) and V_(H) FIG. 6 and FIG. 7 show the reference tracking of both positive and negative edges of V_(REF) for both V_(O) by the conventional (e.g. that of FIG. 1A) and the EPP controls (that of FIG. 2), respectively. The tracking speed by EPP is faster than the conventional control. The signals in FIG. 8A shows V_(a) (input of the PWM controller) for the conventional controls. As predicted, V_(a) is slowed down by the large compensation capacitor in network 18 to generate new V_(O) slowly in response to a change in V_(REF). However, V_(a2) in the EPP scheme of FIG. 2 changes much faster to provide a change in V_(O) quickly as shown in FIG. 8B in response to a change in V_(REF). It is noted that there is a small change on V_(a1) due to the non-ideal power transistors and inductor on non-zero on-resistance and series-equivalent resistance. Since the change is small, it does not degrade the tracking speed significantly. Some of the aspects of the embodiment of this invention are also described in the article, “A Voltage-Mode PWM Buck Regulator With End-Point Prediction,” Siu et al., IEEE Transactions on Circuits and Systems—II: Express Briefs, Vol. 53, No. 4, April 2006, pp. 294-298.

While the invention has been described above by reference to various embodiments, it will be understood that changes and modifications may be made without departing from the scope of the invention, which is to be defined only by the appended claims and their equivalent. All references referred to herein are incorporated herein by reference. 

1. A regulator comprising: a power stage including two or more power semiconductor devices, said stage providing a regulator output in response to an input voltage; a controller to turn on/off the power semiconductor devices; a reference voltage; an error amplifier receiving as inputs the reference voltage and a signal indicative of the regulator output and providing a single-ended output that is proportional to a difference between the two inputs to the error amplifier; a frequency compensation network connected to the amplifier output (or connected between the amplifier out and the negative input of the amplifier) to stabilize the regulator; and a circuit path that connects the voltage reference and the amplifier output or a signal derived therefrom to the controller, said path connecting the reference voltage to the controller in a manner so that the path is substantially unaffected by any delay caused by the frequency compensation network, to provide end-point prediction when the reference voltage changes.
 2. A regulator as claimed in claim 1, wherein said circuit path includes a voltage adder that sums the error-amplifier output or a signal derived therefrom and the reference voltage to obtain a sum signal and supplies the sum signal to the controller to provide end-point prediction.
 3. A buck regulator as claimed in claim 2, wherein said the voltage adder is implemented in voltage mode or current mode.
 4. A regulator as claimed in claim 1, further comprising a voltage-controlled oscillator to provide substantially constant frequency ramp and clock signals despite change in the input voltage to the regulator.
 5. A regulator as claimed in claim 4, wherein said controller comprises a pulse-width-modulation controller.
 6. A regulator as claimed in claim 5 said pulse-width-modulation controller providing a second reference voltage, wherein said voltage-controlled oscillator generates said substantially constant frequency ramp and clock signals with voltage amplitude changing between V_(H) and V_(L), at least one of said V_(H) and V_(L) derived from said second reference voltage, where V_(H)>V_(L)>0V and V_(H)=b×V_(IN)+V_(L), where V_(IN) is the input voltage to the regulator and b is a scaling factor less than or equal to one.
 7. A regulator as claimed in claim 6, further comprising a voltage divider that provides a voltage substantially equal to b×V_(IN) to one of the two inputs to the error amplifier.
 8. A regulator as claimed in claim 1, further comprising a voltage-controlled oscillator to provide a ramp voltage of amplitude (V_(H)−V_(L)) substantially proportional to the input voltage to the regulator.
 9. A regulator as claimed in claim 1, wherein said frequency compensation network comprises a single capacitor connected between the error-amplifier output and ground to achieve dominant-pole compensation.
 10. A regulator as claimed in claim 1, wherein said frequency compensation network comprises one or more than one resistor and one or more than one capacitor to achieve one or multiple pole-zero cancellations.
 11. A regulator as claimed in claim 1, said power stage including power PMOSFET, a power NMOSFET, an inductor and an output capacitor.
 12. A regulator as claimed in claim 10, further comprising a dead-time control circuit controlling the power MOSFETs so that they do not turn on at the same time.
 13. A regulator as claimed in claim 1, further comprising power transistors driver(s) for driving the power stage.
 14. A method for regulating an input voltage by means of a regulator, said regulator comprising: a power stage including two or more power semiconductor devices; a controller controlling the power semiconductor devices; a reference voltage; said method comprising: generating an error voltage signal from the reference voltage and a signal indicative of the regulator output; supplying a feed back signal derived from said error voltage and said reference voltage to the controller to provide end-point prediction.
 15. The method of claim 14, wherein said supplying includes summing the error signal or a signal derived therefrom and the reference voltage to obtain said feed back signal.
 16. The method of claim 14, further comprising providing substantially constant-frequency ramp and clock signals to the controller despite change in the input voltage to the regulator.
 17. The method of claim 14, wherein said controller controls the power semiconductor devices by pulse-width-modulation.
 18. The method of claim 14, wherein the error voltage signal is generated by an error amplifier, said method further comprising connecting a single capacitor between the error-amplifier output and ground to achieve dominant-pole frequency compensation.
 19. A voltage-controlled oscillator, comprising: (a) a current mirror circuit including: a circuit providing a current I equal to bV_(IN)/R₁, where V_(IN) is an input voltage to the oscillator and b is a scaling factor less than or equal to one, and R₁ a resistance; a first output branch including a capacitor; and a second output branch including a resistor of resistance R₁, said current mirror circuit being such that current I flows through both branches; (b) a transistor connected in parallel to said capacitor; (c) a hysteretic comparator providing a periodic clock signal to a gate of said transistor to periodically discharge said capacitor to provide a periodic ramp signal by turning on and off the transistor periodically, in response to voltages at two terminals of the resistor, the two terminals of said resistor being at two voltages V_(H) and V_(L) applied to inputs of the hysteretic comparator.
 20. The oscillator of claim 19, said oscillator generating substantially constant frequency ramp and clock signals with voltage amplitude changing between V_(H) and V_(L), where V_(H)>V_(L)>0V and V_(H)=b×V_(IN)+V_(L). 